197092465920 has 720 divisors, whose sum is σ = 848459821440. Its totient is φ = 42675683328.

The previous prime is 197092465919. The next prime is 197092465951. The reversal of 197092465920 is 29564290791.

197092465920 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 9 + 2 + 46 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×197092465920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13782294 + ... + 13796586.

Almost surely, 2^197092465920 is an apocalyptic number.

197092465920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197092465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424229910720).

197092465920 is an abundant number, since it is smaller than the sum of its proper divisors (651367355520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

197092465920 is a wasteful number, since it uses less digits than its factorization.

197092465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14352 (or 14329 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 197092465920 in words is "one hundred ninety-seven billion, ninety-two million, four hundred sixty-five thousand, nine hundred twenty".